Answer:
-3.
Step-by-step explanation:
In the table, the y value goes down by -4 and then -2, for a total of -6.
We did this over a period of two units (To go from -1 to 1, we add 2).
-6/2 = -3.
-3 is the average rate of change over the interval.
1. 2 3/4 = 11/4(2 * 4 + 3)
2. 1 1/4 = 5/4(1 * 4 + 1)
11/4 * 5/4 = 55/16 OR 3 7/16 if simplified.
Answer:
The measure of ∠z = 137°
Step-by-step explanation:
Here, angle 1 = 43°
To find : ∠z
Straight line Angle: The angle which measures exactly 180° and is extended by a point on a straight line is called straight angle.
According to the given figure:
∠1 + ∠z = 180 ° (STRAIGHT LINE ANGLE)
or, ∠z = 180 ° - 43° = 137°
Hence, the measure of ∠z = 137°.
Answer:
5 meters.
Step-by-step explanation:
Given:
Mr. Dyer is leaning a ladder against the side of his house to repair the roof.
The top of the ladder reaches the roof, which is 3 meters high.
The base of the ladder is 4 meters away from the house, where Mr. Dyer's son is holding it steady.
Question asked:
How long is the ladder?
Solution:
<em>Here we found that a right angle triangle is formed in which base and height is given and we have to find the longest side of the triangle.</em>
Base = 4 meters
Height = 3 meters
Length of the ladder = ?
<u>By Pythagoras theorem:
</u>
Square of longest side = Square of base + Square of height



Taking root both side :-
![Longest\ side = \sqrt[2]{5\times5} \\ Longest\ side = 5](https://tex.z-dn.net/?f=Longest%5C%20%20side%20%3D%20%20%5Csqrt%5B2%5D%7B5%5Ctimes5%7D%20%5C%5C%20%20Longest%5C%20%20side%20%3D%20%205)
Thus, length of ladder is 5 meters.